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Simplifying 5x2 + -47x + -156 = 0 Reorder the terms: -156 + -47x + 5x2 = 0 Solving -156 + -47x + 5x2 = 0 Solving for variable 'x'. Factor a trinomial. (-13 + -5x)(12 + -1x) = 0Subproblem 1
Set the factor '(-13 + -5x)' equal to zero and attempt to solve: Simplifying -13 + -5x = 0 Solving -13 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -5x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -5x = 0 + 13 -5x = 0 + 13 Combine like terms: 0 + 13 = 13 -5x = 13 Divide each side by '-5'. x = -2.6 Simplifying x = -2.6Subproblem 2
Set the factor '(12 + -1x)' equal to zero and attempt to solve: Simplifying 12 + -1x = 0 Solving 12 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 0 + -12 -1x = 0 + -12 Combine like terms: 0 + -12 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12Solution
x = {-2.6, 12}
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